Question

Suppose a math class has 12 females (1 of whom speak french) and 17 males (4 of whom speak french). Compute the probability that a randomly selected student is male, given that the student speaks french. Round your answer to three decimal places. Your answer:

Answer 1

The probability that a randomly selected student is male given that the student speaks French is 0.800, calculated as the number of French-speaking males divided by the total number of French-speaking students.

Step-by-step explanation:

The question asks us to compute the probability that a randomly selected student is male, given that the student speaks French. There are 12 females and 17 males in the class, with 1 female and 4 males who speak French.

First, we find the total number of students who speak French, which is 1 female + 4 males = 5 students. Since we are given that the student speaks French, we focus only on these 5 students. Now, we need to find the probability that, among these French-speaking students, a randomly selected one is male. There are 4 males who speak French out of the 5 French-speaking students.

Therefore, the probability that a student is male given that the student speaks French is 4/5 or 0.8. Rounded to three decimal places, the answer is 0.800.